A unified stiffness model of rolling lobe air spring with nonlinear structural parameters and air pressure dependence of rubber bellows

Jun-Jie Chen, Zi-Qi Huang, Hong-Jiang Liu, Guangqi Qiu, Yingkui Gu
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Abstract

The structural parameters of the rolling lobe air spring and the mechanical characteristic of rubber bellows are the key factors affecting the stiffness and mechanical characteristic of the rolling lobe air spring. Aiming at the prediction difficulties of structural parameters of the rolling lobe air spring with the composite curved contour piston and the modeling complexity of the hysteretic mechanical characteristic of rubber bellows under variable pressure conditions, the geometrical method is applied to derive the structural parameters models of the rolling lobe air spring with the composite curved contour piston. A new pressure factor is introduced and the Coulomb frictional pressure perturbation model and the fractional derivative Kelvin-Voigt pressure perturbation model are reconstructed to accurately describe the hysteretic mechanical characteristic of rubber bellows under variable pressure conditions. A unified pressure equation is constructed to characterize the evolution of model parameters under variable pressure conditions. Furthermore, a hysteretic mechanical characteristic pressure perturbation model (abbreviated as HMCPP model) of rubber bellows under variable pressure conditions is put forward. Finally, a unified stiffness model of the rolling lobe air spring including prediction models of nonlinear structural parameters and a HMCPP model of rubber bellows is built. Taking a certain type of rolling lobe air spring as the test sample A, the structural parameters tests and static/dynamic characteristic tests of sample A are carried out based on the MTS852.05 test bench, which verified the accuracy of the unified stiffness model of the rolling lobe air spring. The research results provide theoretical support for the mechanical characteristic matching and air pressure precise control of the rolling lobe air spring under variable pressure conditions.
具有非线性结构参数和橡胶波纹管气压依赖性的统一滚动叶空气弹簧刚度模型
滚动叶空气弹簧的结构参数和橡胶波纹管的力学特性是影响滚动叶空气弹簧刚度和力学特性的关键因素。针对复合曲面活塞滚动叶空气弹簧结构参数预测的困难性和变压条件下橡胶波纹管滞后力学特性建模的复杂性,应用几何方法推导了复合曲面活塞滚动叶空气弹簧的结构参数模型。引入新的压力因子,重构库仑摩擦压力扰动模型和分数导数开尔文-伏依格特压力扰动模型,以精确描述变压条件下橡胶波纹管的滞后力学特性。构建了统一的压力方程,以描述变压条件下模型参数的演变特征。此外,还提出了变压条件下橡胶波纹管的滞后机械特性压力扰动模型(简称 HMCPP 模型)。最后,建立了包括非线性结构参数预测模型和橡胶波纹管 HMCPP 模型在内的统一的滚动叶空气弹簧刚度模型。以某型滚动叶空气弹簧为试验样本 A,基于 MTS852.05 试验台对样本 A 进行了结构参数试验和静态/动态特性试验,验证了滚动叶空气弹簧统一刚度模型的准确性。研究结果为变压条件下滚动叶空气弹簧的机械特性匹配和气压精确控制提供了理论支持。
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